Evaluate: / y6 sech(e7hny) tanh (e 7Iny) dy A) -sech(y?) +C 7

Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

A:

Q: Find the derivative of f(x)= (In x O a. 6x(In x) O b. 24(In xỷ c. 24 In x O d. 12(In x)

A:

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A:

Q: For what values of x do the tangents to the curves y = (1 +x')² and y = 2r6 have the same slope? X =…

A:

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) d'y dx2 + 2y = 3 , y…

A: I am attaching image so that you understand each and every step.

Q: Sx³e** dx

A: To evaluate: ∫x3e4x dx

Q: Q3) Find the Area bounded by the curves x and x = 2y – y².

A: Topic = Area Area bounded by curves is 13.

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x2 ,y = 4.

A:

Q: 4.Describe the largest set S on which it is correct to say that f is continuous S (x,y) = In(1–x² –…

A: Given problem:- Describe the largest set S on which it is correct to say that f is continuous C.…

Q: Is Rolle's theorem valid for the function f(x) = Vi-x on the segment [-1,1]? a. No since the…

A:

Q: Consider a continuous function f(x). The function has critical points at x = -7, x = -2, and x = 7.…

A: f(x) has critical points at x=-7 , -2 , 7Since f''(-7), f''(-2) is positive ⇒There is local minimum…

Q: Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx y =

A: Let's find.

Q: I c exists in (0, 1) such that f(c) (1)- f(0) 1-0

A:

Q: Evaluate f Vr+ V?dx Oa. 3 am +2) +C (V2) +C can) Ob. 2 am +2) +C 30 om +C (25) Oc 2 an +m) +C O d. 5

A:

Q: (3-y Q1) Evaluate the integral dx dy using polar coordinate

A:

Q: Q4) Find plane area inside the polar function r = 2sin E-0) and outside T= sin in-e) in first…

A:

Q: Each of the regions A, B, and C enclosed by the graph of f and the x-axis has area 6. Find the value…

A:

Q: Consider Evaluate (ar +6r)e' (6r*+9x)e

A:

Q: dy = Solve 2xy r x2 + y? given that y = 0 at a = 1 %3D

A: To find particular solution of D.E.

Q: Use the appropriate Product Rule to evaluate the derivative, where ri(t) = (9t, -10, -t°),r2(t) =…

A:

Q: Q2) Convert the polar function r tan20 to cartesian.

A:

Q: 3. Given the functions f (x) = a? - 4, g (x) = Va+ 4, and h (a) = %3D %3D | x + 2 find the DOMAIN of…

A: Domain is the set of all values  for which the function is defined.

Q: Q3) Evaluate triple integral (x - y²)dz dy dx.

A: tripple integral  First we will integrate w.r.t z and then w.r.t. y and then w.r.t. x.

Q: Evaluate the following integral using Partial Fractions Method: x³ + x? y = dx х2 + х — 2 -

A: Follow the procedure given below.

Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y = T9x2 + 16 %3D

A:

Q: Evaluate the limit, if it exists: x²-9 lim *-3 X+ 3 does not exist -6 1

A:

Q: Appraximate the critical numbers of the function shown in the graph. Determine whether the function…

A:

Q: From Rogawski ET 2e section 10.3, exercise 10. Use the Integral Test to determine whether the…

A: Given problem:-

Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of ¡ does the curve has…

A: The given parametric equation is x=3+5t, y=1+3t The curve length is 34 Let the value of t is t1 to…

Q: Find f"(1) if fx) = x- 2x+ T. O 3n? - 2 O 31? – 1 12 - 21

A:

Q: Find the general solution of (2x – y) dy = 2y – x - da

A:

Q: A ladder 9 meters in length is leaning against a vertical wall on level ground. As the bottom end of…

A:

Q: Find y' if ey+y²=2x. yey – 2 y'= хе + 2у хе + 2у y'= ye – 2 хе*У + 2у y'= 2 – yey 2 – ye y'= хе*У +…

A:

Q: x g"(x) sin(x- 1) X-1 x 3 8. 2 -1 (E) Find all x value(s) on the open interval (-2,5) where f(x) has…

A:

Q: Consider a function () whose dertvative ') continuous as shawn below Graph of f'(x), NOT f(x) 1 5 -1…

A:

Q: 2.Find the indicated limit or state that is does not exist x* – y* C. lim (x,y)→(0,0) x² +y ху d.…

A: Solving

Q: The global maximum of f(x) = x-4x over the interval -2sx<3 occurs at what value of x? O a. X = 3 O…

A:

Q: Consider the function f(x) = 3 sin (). Construct the interpolation polynomial which interpolates the…

A:

Q: 3rd derivative of y sin 3x

A: Here we have to find the 3rd derivative of           y = -1/sin(3x)

Q: 24. dx AX

A:

Q: Let f(x) be the function 11a - 5x+4. Then the quotient f(8 + h) - f(8) can be simplified to ah + b…

A:

Q: 3. Find the area of the band cut from the paraboloid x² + y? – z = 0 by the planes z = 2 and z = 6.…

A: Let's find.

Q: Find the distance between the parallel planes 10х — 5у — 52z — 26 — 0. 2х + у + 2 %3 0 and - - NOTE:…

A:

Q: At which value of x does the local maximum occur? Ox=3 O local maximum does not exist Ox-1 Ox=5

A:

Q: u+v+w=0ad u =3, v=5, w = 7 then he angle between y and y is 0 2r 6. 0 5m ONone of the choices 11

A:

Q: 4. Find the Laurent series of the following function : f (z) = (z + 1)(z + 3) 1 region 2 < |z – 1| <…

A:

Q: Consider the integral 5 x (z° +1) dx. In the following, we will evaluate the integral using two…

A:

Q: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

A:

Q: Q5) Find volume of body bounded by z? + y? + x? = 9.

A: Let's find.

Q: Write the expression as a single logarithm. 4 log 27x-1 - log 2 + log 25 4 log 27x-1 - log 2 + log…

A: We have to simplify logarithm